Pingbing Ming

Wuhan Polytechnic University — China

Engineering · Physical Sciences

18h-index2.8kcitations85works0.82yr avg
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Research Topics

Advanced Numerical Methods in Computational Mathematics(41), Advanced Mathematical Modeling in Engineering(28), Numerical methods in engineering(26), Composite Material Mechanics(25), Elasticity and Material Modeling(15)

Publications85 total

Generalization error estimates of a machine learning method for solving high-dimensional Schrödinger eigenvalue problems
Science China Mathematics·2025
A concurrent global-local numerical method for multiscale parabolic equations
arXiv (Cornell University)·2025Open Access
Finite Element Simulation and Parametric Analysis of Load–Displacement Characteristics of Diaphragm Springs in Commercial Vehicle Clutches
Symmetry·2025Open Access
Spectral Barron Space for Deep Neural Network Approximation
SIAM Journal on Mathematics of Data Science·2025· 2 citedOpen Access
Spectral connvergece of random feature method in one dimension
arXiv (Cornell University)·2025Open Access
Sharp uniform approximation for spectral Barron functions by deep neural networks
arXiv (Cornell University)·2025Open Access
Heterogeneous Multiscale Methods for Fourth-Order Singular Perturbations
Multiscale Modeling and Simulation·2025Open Access
A broken Hardy inequality on finite element space and application to strain gradient elasticity
arXiv (Cornell University)·2025Open Access
The TRUNC element in any dimension and application to a modified Poisson equation
Numerical Methods for Partial Differential Equations·2024Open Access
The TRUNC element in any dimension and application to a modified Poisson equation
arXiv (Cornell University)·2024Open Access
Generalization Error Estimates of Machine Learning Methods for Solving High Dimensional Schrödinger Eigenvalue Problems
arXiv (Cornell University)·2024Open Access
A Pre-Training Deep Learning Method for Simulating the Large Bending Deformation of Bilayer Plates
East Asian Journal on Applied Mathematics·2024Open Access
A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator
Journal of Systems Science and Complexity·2024· 6 cited
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited
Multiscale Modeling and Simulation·2024· 3 cited
An asymptotic-preserving finite element method for a forth order singular perturbation problem with boundary layers
Applied Mathematics Letters·2023· 3 cited
Spectral Barron space for deep neural network approximation
arXiv (Cornell University)·2023Open Access
A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator
arXiv (Cornell University)·2023Open Access
A pre-training deep learning method for simulating the large bending deformation of bilayer plates
arXiv (Cornell University)·2023Open Access
Specht Triangle Approximation of Large Bending Isometries
Annals of Applied Mathematics·2023· 1 cited
Taylor-Hood Like Finite Elements for Nearly Incompressible Strain Gradient Elasticity Problems
Journal of Scientific Computing·2023· 5 cited
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Frequent Co-authors

Zhong‐Ci Shi(14), E Weinan(5), Jianfeng Lu(4), Hongliang Li(4), Jingrun Chen(3), Xiantao Li(3), Pingwen Zhang(2), Yang Xiang(2), Jerry Zhijian Yang(2), Rui Du(2), Dietrich Braess(2), Yulei Liao(2), Fang Liu(1), Ju Li(1), Xingye Yue(1), Wei He(1), Ruo Li(1), Fengyang Tang(1), Qiang Du(1), He Wei(1)